Resolver 6.626*10^-34^/4*3.1410^-210^-5

$$\frac{ 6.626 \times { 10 }^{ { -34 }^{ } } }{ 4 \cdot 3.14 { 10 }^{ -2 } { 10 }^{ -5 } }$$

Calcular

$$\frac{3313}{6280000000000000000000000000000}\approx 5.275477707 \cdot 10^{-28}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -2 e -5 para obter -7.

$$\frac{6.626\times 10^{\left(-34\right)^{1}}}{4\times 3.14\times 10^{-7}}$$

Calcula -34 á potencia de 1 e obtén -34.

$$\frac{6.626\times 10^{-34}}{4\times 3.14\times 10^{-7}}$$

Calcula 10 á potencia de -34 e obtén \frac{1}{10000000000000000000000000000000000}.

$$\frac{6.626\times \frac{1}{10000000000000000000000000000000000}}{4\times 3.14\times 10^{-7}}$$

Multiplica 6.626 e \frac{1}{10000000000000000000000000000000000} para obter \frac{3313}{5000000000000000000000000000000000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{4\times 3.14\times 10^{-7}}$$

Multiplica 4 e 3.14 para obter 12.56.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{12.56\times 10^{-7}}$$

Calcula 10 á potencia de -7 e obtén \frac{1}{10000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{12.56\times \frac{1}{10000000}}$$

Multiplica 12.56 e \frac{1}{10000000} para obter \frac{157}{125000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{\frac{157}{125000000}}$$

Divide \frac{3313}{5000000000000000000000000000000000000} entre \frac{157}{125000000} mediante a multiplicación de \frac{3313}{5000000000000000000000000000000000000} polo recíproco de \frac{157}{125000000}.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{125000000}{157}$$

Multiplica \frac{3313}{5000000000000000000000000000000000000} e \frac{125000000}{157} para obter \frac{3313}{6280000000000000000000000000000}.

$$\frac{3313}{6280000000000000000000000000000}$$

Factorizar

$$\frac{3313}{157 \cdot 2 ^ {30} \cdot 5 ^ {28}} = 5.275477707006369 \times 10^{-28}$$